A necessary condition of local solvability for pseudo-differential equations with double characteristics

DOI10.5802/aif.499zbMath0273.35058OpenAlexW2329130032MaRDI QIDQ2264922

François Treves, Fernando Cardoso

Publication date: 1974

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1974__24_1_225_0

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05)

Related Items (14)

A necessary condition for the solvability of certain operators with multiple characteristics ⋮ Unnamed Item ⋮ Local solvability of a class of partial differential equations with multiple characteristics ⋮ Parametrices for pseudodifferential operators with multiple characteristics ⋮ On local solvability in gevrey classes of linear partial differential operators with multiple characteristics ⋮ A necessary condition for the local solvability of a pseudo-differential equation having multiple characteristics ⋮ A necessary condition for gevrey solvability of differential equations with double characteristics ⋮ On a nonsolvable partial differential operator ⋮ On the existence of local solutions of pseudodifferential equations ⋮ Pseudo-differential operators with double characteristics ⋮ On a necessary condition for the local solvability of psedudo-differential operators with double characteristics ⋮ Unnamed Item ⋮ On hypoellipticity and solvability of linear partial differential operators with multiple characteristics ⋮ NECESSARY CONDITIONS FOR LOCAL SOLVABILITY FOR A CLASS OF DIFFERENTIAL SYSTEMS

Cites Work

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• Pseudo-differential operators and non-elliptic boundary problems
• An Example in the Solvability Theory of Linear PDE's
• Pseudo‐differential operators
• On local solvability of linear partial differential equations part I: Necessary conditions
• Sur la condition de E. E. Levi concernant des équations hyperboliques

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